[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2020.057

AN ANNIHILATOR CONDITION ON MAXIMAL IDEALS OF COMPOSITE HURWITZ RINGS

KIM, DONG KYU (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
LIM, JUNG WOOK (Department of Mathematics, College of Natural Sciences, Kyungpook National University)

Publication Information

Journal of applied mathematics & informatics / v.38, no.1_2, 2020 , pp. 57-64 More about this Journal

Abstract

Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

Keywords

Composite Hurwitz series ring; composite Hurwitz polynomial ring; PS-ring; annihilator; idempotent element;

Citations & Related Records

Reference

1	A. Benhissi and F. Koja, Basic properties of Hurwitz series rings, Ric. Mat. 61 (2012), 255-273. DOI
2	W.F. Keigher, On the ring of Hurwitz series, Comm. Algebra 25 (1997), 1845-1859. DOI
3	D.K. Kim and J.W. Lim, Composite Hurwitz rings as PF-rings and PP-rings, preprint.
4	J.W. Lim and D.Y. Oh, Chain conditions on composite Hurwitz series rings, Open Math. 15 (2017), 1161-1170. DOI
5	J.W. Lim and D.Y. Oh, Composite Hurwitz rings satisfying the ascending chain condition on principal ideals, Kyungpook Math. J. 56 (2016), 1115-1123. DOI
6	K. Shikishima-Tsuji and M. Katsura, Hypertranscendental elements of a formal power-series ring of positive characteristic, Nagoya Math. J. 125 (1992), 93-103. DOI